LCM of 3 Numbers Calculator LCM of 4 Numbers Calculator LCM of 5 Numbers Calculator LCD Calculator How to find LCM LCM and HCF Questions Least Common Denominator Calculator Greatest Common Divisor Calculator HCF Calculator HCF of 3 Numbers Calculator HCF of 4 Numbers Calculator GCD Calculator Greatest Common Factor Calculator Least Common Multiple Calculator Common Factors Calculator

LCM of 960, 135, 594, 757

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 960, 135, 594, 757 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 960, 135, 594, 757. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 960,135,594,757

Given numbers are 960,135,594,757

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 960,135,594,757 is 71945280.

Find LCM of 960,135,594,757 with Prime Factorization


2 960, 135, 594, 757
3 480, 135, 297, 757
3 160, 45, 99, 757
3 160, 15, 33, 757
5 160, 5, 11, 757
32, 1, 11, 757

Multiply the prime numbers at the bottom and the left side.

2 x 3 x 3 x 3 x 5 x 32 x 1 x 11 x 757 = 71945280

Therefore, the lowest common multiple of 960,135,594,757 is 71945280.

LCM Formula to Find Lowest Common Multiple of 960,135,594,757

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

960 x 135 x 594 x 757 = 58275676800

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

960 : 1, 2, 3, 4, 5, 6, 8, 10, 12, 15, 16, 20, 24, 30, 32, 40, 48, 60, 64, 80, 96, 120, 160, 192, 240, 320, 480, 960

135 : 1, 3, 5, 9, 15, 27, 45, 135

594 : 1, 2, 3, 6, 9, 11, 18, 22, 27, 33, 54, 66, 99, 198, 297, 594

757 : 1, 757

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 960,135,594,757, is 1.

Now, the common factors can be found like this.

960:2x 2x 2x 2x 2x 2x 3x 5

135:3x 3x 3x 5

594:2x 3x 3x 3x 11

757:757

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

2x 3x 3x 3x 3x 5 = 810

Therefore, the value for common factors is 810.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 58275676800/(1x810)

LCM = 58275676800/810

LCM = 71945280

Thus, we can understand that the LCM of 960,135,594,757 is 71945280.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 960, 135, 594, 757

1. What is the LCM of 960, 135, 594, 757?

Answer: LCM of 960, 135, 594, 757 is 71945280.

2. How to calculate the LCM of 960, 135, 594, 757?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 960, 135, 594, 757.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.